6.91 x 2.3 = what. please show work

Answers

Answer 1
Answer: 15.893 is the answer.
Answer 2
Answer: the answer is 15.893

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Use the fact that 4.86 : 0.45 = 10.8. Find 4.86 : 4.5 without dividing. Explain your work

Answers

Answer:

Hence, the value of expression (2) is ⇒ 1.08.

Step-by-step explanation:

We are given a fact such that:

4.86 : 0.45=10.8  ------(1)

Now we are asked to find the value of the mathematical expression:

4.86 : 4.5  --------(2) without actually dividing.

We could clearly see that the numerator in both the mathematical expression is same only there is a difference in there denominator.

The denominator in second expression is just a multiplication of the denominator of first expression by 10.

Hence we divide both side of expression (1) by 10 to obtain the expression (2).

i.e. 4.86: (0.45×10)=10.8:10

i.e.  4.86: 4.5= 1.08

Hence, the value of expression (2) is 1.08.



Answer:

Step-by-step explanation:

A ball is thrown into the air with an initial upward velocity of 60ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+60t+6a. After how many seconds will the ball hit the ground?
b.What will the height be at t=3 seconds
Also, please show work, thanks!

Answers

Part a.

You need to solve the quadratic function h = -16t^2 + 60 t + 6 = 0

-16t^2 + 60 t + 6 = 0

Divide by 2, just to make the numbers easier

-8t^2 + 30t + 3 = 0

Use the quadratic formula to find the roots

t=[ -b ± √(b^2-4ac) ] /2a

t=[-30 ± √(30^2-4(-8)(3) ]/2(-8)

t=[-30 ± √(900 + 96) ]/(-16)

t=[-30 ± √(996) ]/(-16)

t=[-30 ± 31.56) ]/(-16)

t=[-61.56) ]/(-16) = 3.85 s

Part b)

h = -16t^2 + 60 t + 6
h (3) = -16(3)^2 + 60 (3) + 6 = -144 + 180 + 6 = 42 ft

the ratio of girls to boys at a school dance was 5:2 if there were 70 girls at the dance, How many boys were at he dance? "use proportion and either and equivalent fraction to solve

Answers

this is saying that 5/2=70/x in order to solve you make the equation x=70/(5/2) which would be 140/5 or 28 boys
The answer is 67 because
5-2=3
70:67
67+3=70

Subtract:
4 4/9-2 7/9

Answers

The answer is

1 2/3:

Answer:

1  2/3

Step-by-step explanation:

Since 7/9 is larger than 4/9, we have to borrow from 4 before attempting subtraction.  Rewrite 4  4/9 as 3  13/9 and then subtract 2  7/9 from it:

 3  13/9

- 2   7/9

-------------

   1   6/9, or  1  2/3

A meuseum added 18 painting to its collection in may. This is 20% of paintings the meuseum has in April. How many paintings did the meuseum have in April ?

Answers

18 / x = 20 / 100

20x = 1800

x = 90

The museum had 90 paintings in April.

Hope this helps!! :)

Evaluate x divided by y for x=72 and y=4

Answers

Answer:18

Step-by-step explanation:

X/y =72/4=18

The answer for X divided by Y if X=72 and Y=4 is 18. We can Step 1:

Start by setting it up with the divisor 4 on the left side and the dividend 72 on the right side like this:

                 

     4  ⟌  7  2  

Step 2:

The divisor (4) goes into the first digit of the dividend (7), 1 time(s). Therefore, put 1 on top:

           1      

     4  ⟌  7  2  

Step 3:

Multiply the divisor by the result in the previous step (4 x 1 = 4) and write that answer below the dividend.

           1      

     4  ⟌  7  2  

           4      

Step 4:

Subtract the result in the previous step from the first digit of the dividend (7 - 4 = 3) and write the answer below.

           1      

     4  ⟌  7  2  

        -  4      

           3      

Step 5:

Move down the 2nd digit of the dividend (2) like this:

           1      

     4  ⟌  7  2  

        -  4      

           3  2  

Step 6:

The divisor (4) goes into the bottom number (32), 8 time(s). Therefore, put 8 on top:

           1  8  

     4  ⟌  7  2  

        -  4      

           3  2  

Step 7:

Multiply the divisor by the result in the previous step (4 x 8 = 32) and write that answer at the bottom:

         1 8  

           4 ⟌72  

        - 4      

          3 2  

          3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (32 - 32 = 0) and write the answer at the bottom.

          1 8  

         4 ⟌ 7 2  

        -4      

         3 2  

        - 3 2  

              0